Answer:
Ms. Martinez = Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.
Step-by-step explanation:
Tom made $405 for the week from his three clients
Mr. Hansen paid Tom $125
Mrs. Johnson paid Tom $165
405-165-125=115
Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)
The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:
Mr. Hansen paid $125 to mow a lawn and to mulch a yard.Mrs. Johnson paid $165 for the three servicesMs. Martinez paid $115 for a yard cleanup and to mulch a yard.Given that:
Cost
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Time
[tex]2\ hrs \to[/tex] Yard cleanup
[tex]40\ mins \to[/tex] Mow a lawn
[tex]2\ hrs \to[/tex] Mulching a yard
[tex]Total\ Earnings = \$405[/tex]
From the question, we understand that:
[tex]Mr.\ Hansen = \$125[/tex]
Recall that:
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$50 + \$75 = 125[/tex]
This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.
[tex]Mrs.\ Johnson= \$165[/tex]
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$40 + \$50 + \$75 =\$165[/tex]
This means that Mrs. Johnson paid $165 for the three services
The amount paid by Ms. Martinez is calculated as follows:
[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]
Substitute known values
[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]
[tex]\$290 + Ms.\ Martinez = \$405[/tex]
Collect like terms
[tex]Ms.\ Martinez = \$405 - \$290[/tex]
[tex]Ms.\ Martinez = \$115[/tex]
This means that Ms. Martinez paid $115
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$75 \to[/tex] Mulching a yard
Add up
[tex]\$40 +\$75 = \$115[/tex]
This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.
Read more about equations at:
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find the value of x
x = [?]
Answer
4
Step by step explanation
2/3=x/10-x
cross multiply
2(10-x)=3x
20-2x=3x
20=3x+2x
20=5x
x=4
largest 3 digit odd number
Answer:
999
Step-by-step explanation:
If there are 6 people,and each person has 3 coins,There are times as many coins as people
The ratio of sugar to flour in Sydney's favorite recipe for chocolate chip cookies is 3 to 2. If Sydney used 20 tsp of flour, how many tsp of sugar did she use?
Answer:
30 tsp of sugar
Step-by-step explanation:
If 20 is 2 parts of the 5 parts then 1 part is 10
10x3 =30
30 to 20 = 3 to2
Is the function given by f(x)=3x-2 continuous at x=5?
Answer:
Yes the function is continuous f(5) = 13
Step-by-step explanation:
Replace the variable x with 5 in the expression
Simlify the results
f(5) = 3(5)-3
f(5) = 15=3
f(5) = 13
Plotting on a graph gives a coninous line with a positive gradient
y intercept (0,-2)
Please view the attached graph
please help A data set has its first and third quartiles as 9 and 17, respectively.
Which of the following data points would be considered an outlier for the data set?
27
17
3
41
Answer: 27
Step-by-step explanation: hihihihihiiiiihihi
27 is considered an outlier for the data set.
What is quartiles?In statistics, a quartile exists as a variety of quantiles which divides the number of data points into four parts, or quarters, of more or less equal size. The data must be ordered from smallest to largest to calculate quartiles; as such, quartiles exist a form of order statistic.
A quartile separates data into three points—a lower quartile, median, and upper quartile—to form four sets of the dataset.
Hence, 27 is considered an outlier for the data set.
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#SPJ2
50 Points to correct answer!!!
what is the average rate of change from 2 to 9 of the function represented by the graph?
Answer:
-3/7
Step-by-step explanation:
It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).
We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.
We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.
The slope of a line is calculated by finding the ratio of the change of y to the change of x.
(-1-2)/(9-2)
(-3)/(7)
-3/7
I need help with this problem please
Answer:
38
Step-by-step explanation:
10 + 4 + 2 + 9 = 25
That's the stuff we're given.
Now the other sides.
10 - 2 = 8,
9 - 4 = 5,
25 + 8 + 5 = 38
20. In the above figure, ZAOB = 80°. What does ZACB equal?
A. 10°
B. 160°
C. 80°
O
D. 40°
Answer:
D. 40
Step-by-step explanation:
A central angle is equal to the measure of its corresponding arc.
angle AOB is a central angle and it's corresponding arc is arc AB
this means that arc AB = measure of angle AOB
If angle AOB = 80 degrees then arc AB equals 80 degrees too.
An inscribed angle is equal to half the measure of its intercepted arc.
Angle ACB is an inscribed angle and the arc it intercepts is arc AB
This means that angle ACB = 1/2 of arc AB
We have found that the measure of arc AB is 80 degrees.
This means that angle ACB = 1/2 of 80 which is 40
help plsss . 10 points !
Answer:
B
Step-by-step explanation:
(7×2)⁶
when we put a number to the power of something, we need to include the whole number. bit just a part of it.
so, it must be 7⁶×2⁶
just think about the simple example 6², which we could write as (2×3)².
would it be sufficient to e.g. square only one of the factors ?
6² = 36
but e.g. 2×3² = 18. so, that's really not it.
or add the two factors and then square them ?
2+3 = 5. 5² = 25. so, that's not it either.
or multiply the exponent in ?
2×3×2 = 12. so that's not it either.
no, it truly is you need to do the operation to all parts.
2²×3² = 4×9 = 36. yes, that fits.
therefore, B is the right answer.
Note: Enter your answer and show all the steps you use to solve this problem in the space provided. 6 × 5 + 3 × 8
Make it simple, please
Answer:
54
Step-by-step explanation:
6x5=30
3x8=24
30+24=54
What is the range of exponential function g?
The range of the exponential function is: B. [tex]g(x)>-6[/tex]
Recall:
Range of any function includes all possible values of y (output)
Domain of any function includes all possible values of x (input).
Thus:
The values of y in the exponential function greater than -6 on the y-axis as shown in the graph given.
Therefore:
Range of the exponential function given in the graph is: B. [tex]g(x)>-6[/tex].
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The bases of a prism are always
A. perpendicular
B. parallel
C. intersecting
D. rectangles
Answer:
D. rectangles
Step-by-step explanation:
Perpendicular is when they cross but the base isn't perpendicular
Parallel is when two lines never touch, but in the base of a prism there are lines that touch
Intersecting is when two or more lines meet and cross over each other
find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)
Answer:
[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]
Or:
[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) - i(x +y)[/tex]
And we want to find the values of x and y such that the equation is true.
First, distribute:
[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) +i(-x -y)[/tex]
If two complex numbers are equivalent, their real and imaginary parts are equivalent. Hence:
[tex]\displaystyle x^2 + 2xy = x^2 - 2x +2y \text{ and } y - 1 = -x -y[/tex]
Simplify:
[tex]\displaystyle 2xy = -2x +2y \text{ and }x = 1 - 2y[/tex]
Substitute:
[tex]\displaystyle 2(1-2y)y = -2(1-2y) + 2y[/tex]
Solve for y:
[tex]\displaystyle \begin{aligned} 2(y - 2y^2) &= (-2 + 4y) + 2y \\ 2y - 4y^2 &= 6y -2\\ 4y^2 + 4y - 2& = 0 \\ 2y^2 + 2y - 1 &= 0 \\ \end{aligned}[/tex]
From the quadratic formula:
[tex]\displaystyle \begin{aligned} y &= \frac{-(2)\pm\sqrt{(2)^2 - 4(2)(-1)}}{2(2)} \\ \\ &= \frac{-2\pm\sqrt{12}}{4} \\ \\ &= \frac{-2\pm2\sqrt{3}}{4}\\ \\ &= \frac{-1\pm\sqrt{3}}{2} \end{aligned}[/tex]
Hence:
[tex]\displaystyle y_1 = \frac{-1+\sqrt{3}}{2} \text{ or } y_2 = \frac{-1-\sqrt{3}}{2}[/tex]
Then:
[tex]\displaystyle x _ 1 = 1 - 2\left(\frac{-1+\sqrt{3}}{2}\right) = 1 + (1 - \sqrt{3}) = 2 - \sqrt{3}[/tex]
And:
[tex]\displaystyle x _ 2 = 1 - 2\left(\frac{-1-\sqrt{3}}{2}\right) = 1 + (1 + \sqrt{3}) = 2 + \sqrt{3}[/tex]
In conclusion, the values of x and y are:
[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]
Or:
[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]
THE STUDENTS ON THE SCHOOL NEWSPAPER ARE CONTRIBUTING MONEY FOR A GIFT FOR THEIR STAFF ADVISOR. THE COST PER STUDENT FOR THE GIFT VAIES INVERSELY AS THE NUMBER OF STUDENTS WHO CONTRIBUTE. iT WILL COST $6 PER STUDENT IF 12 STUDENTS CONTRIBUTE. HOW MUCH WILL IT COST PER PERSON IF 15 STUDENTS CONTRIBUTE
Answer:
ok
Step-by-step explanation:
Could someone please solve this using a^2+b^2=c^2
Step-by-step explanation:
it is shown in the above process.
hope you understand
I need help ASAP!!! Thanks
Rational or Irrational: -4 √81
Answer:
it is rational
Step-by-step explanation:
Answer:
it's rational number
I hope it's helps you
what is four fifteenths times two thirds?
Answer:
Try 0.17? I hope it's right
Answer:
2 10/15 or 2 2/3 (simplified)
Step-by-step explanation:
To Multiply we need to get the same denominator for each fraction:
2 x 5 =10
3 x 5 =15
10/15
4/15 x 10/15 (or) 4 x 10 = 40/15
40/15 (also) = 2 10/15
2 2/3 (simplified version of 2 10/15)
Hope This Helps! :)
x ^ 2 − 17x − 60
Which expression is equivalent to the expression above?
(Please explain in simple terms cause, it's usually hard for me to understand)
[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]
First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .
Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .
I hope I helped you^_^
2. Which type of variation is represented by the following equation?
indirect variation
Verification
[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]
[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]
Consider the set A with n(A) = 20. How many subsets could be formed from this set?
Answer:
There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]
Step-by-step explanation:
Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is
[tex]2^{n(A)}=2^{20}[/tex]
Examine the tile pattern at right
b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.
c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.
Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use?
Answer:
1/3
Step-by-step explanation:
To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.
5/6-1/2
L.C.M
10-6/12
4/12
=1/3
Calculate 20% of 3 3/4 years in months.
Answer:
It is 9 months
Step-by-step explanation:
[tex] = 20\% \times 3 \frac{3}{4} \\ \\ = \frac{20}{100} \times \frac{15}{4} \\ \\ = \frac{300}{400} \\ \\ = \frac{3}{4} \: \: { \sf{years}}[/tex]
convert them to months by multiplying by 12:
[tex]{ \sf{ = \frac{3}{4} \times 12}} \\ \\ = { \sf{9 \: months}}[/tex]
It took Emma 3/4 hour to rake the leaves. It took her 1/5 hour more to
weed the garden than it took to rake the leaves. It took her 0.2 hour
more to mow the lawn than it took to weed the garden. Discuss a
strategy you can use to find the answer. Then determine how long it
took her to do all three chores.
9514 1404 393
Answer:
total: 2.85 hours = 2 17/20 hours
Step-by-step explanation:
Strategy: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.
3/4 = 0.75
1/5 = 0.2
Solution:
raking time: 0.75 hours
weeding time: 0.75 +0.2 = 0.95 hours
mowing time: 0.95 +0.2 = 1.15 hours
__
Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours
_____
Additional comment
You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.
Find the slope of the line graphed below
Answer:
-4/3
Step-by-step explanation:
To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/
A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
[tex]\frac{170}{17}[/tex] = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
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Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4
For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?
Answer:
k = -4x² - 8x
Step-by-step explanation:
Subtract 4x² from both sides of the equation.
8x + k = -4x²
Subtract 8x from both sides of the equation.
k = -4x² - 8x
Answer:
k > 4
Step-by-step explanation:
Using the discriminant to determine the nature of the solutions
• If b² - 4ac < 0 then the solutions are not real, that is they are complex
Given
4x² + 8x + k = 0
with a = 4, b = 8, c = k , then
8² - (4 × 4 × k) < 0
64 - 16k < 0 ( subtract 64 from both sides )
- 16k < - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k > 4
Any value of k greater than 4 will mean the equation has 2 complex solutions
